Atkin-Lehner |
3- 5+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
22695d |
Isogeny class |
Conductor |
22695 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2836875 = 3 · 54 · 17 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24209,1447757] |
[a1,a2,a3,a4,a6] |
Generators |
[136986:3286499:216] |
Generators of the group modulo torsion |
j |
1569019984870366729/2836875 |
j-invariant |
L |
6.8662057131854 |
L(r)(E,1)/r! |
Ω |
1.6470794245572 |
Real period |
R |
8.3374312262217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68085l4 113475f4 |
Quadratic twists by: -3 5 |